PIAA simulations are using the Hcipy Python library[1]}, from telescope to fiber coupling. We started our studies with a toy-model based on an analytical solution, for which a post-PIAA phase remapping function is generated. This is equivalent to consider only Fraunhoffer propagation. We now have developed a Fresnel model, including the case of refractive lenses. The toy model generates more optimistic results, with nulls down to \(10^{-6}\) .
